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Existence Of Solutions For Discontinuous Functional Equations And Elliptic Boundary-Value Problems, Siegfried Carl, Seppo V. Heikkilä
Existence Of Solutions For Discontinuous Functional Equations And Elliptic Boundary-Value Problems, Siegfried Carl, Seppo V. Heikkilä
Mathematics and System Engineering Faculty Publications
We prove existence results for discontinuous functional equations in general Lp-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. The main tool in the proof is a fixed point result in lattice-ordered Banach spaces proved by the second author. © 2002 Southwest Texas State University.